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10 October, 01:02

Three siblings - Kate, Sarah, and Dave comitted themselves to volunteer 160 hours for a homeless charity to build new housing. Dave worked 15 hours more than Kate. Sarah worked 20 hours fewer than Kate. How many hours did each of these siblings volunteer?

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  1. 10 October, 01:41
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    Kate 55 hours

    Dave 70 hours

    Sarah 35 hours

    Step-by-step explanation:

    Let k be Kate's hours

    Dave = 15 + k

    Sarah = k - 20

    Dave + Kate + Sarah = 160

    15 + k + k + k - 20 = 160

    3k - 5 = 160

    3k = 165

    k = 55

    Kate worked 55 hours

    Dave worked 70 hours

    Sarah worked 35 hours
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